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Finding the Fourth Proportional to 527.40, 789.88 and 509.17

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Solution

The fourth proportional to 527.40, 789.88 and 509.17 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 789.88 = 509.17 : x
  2. Step 2: Convert to fraction form
    527.40/789.88 = 509.17/x
  3. Step 3: Cross multiply
    527.40x = 789.88 × 509.17
  4. Step 4: Simplify right side
    527.40x = 402,180.65
  5. Step 5: Solve for x
    x = 402,180.65/527.40
  6. Step 6: Final answer
    x = 762.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.